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Finding the Fourth Proportional to 314,243.73, 433,665.39 and 171,012.84

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Solution

The fourth proportional to 314,243.73, 433,665.39 and 171,012.84 is: 236,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,243.73 : 433,665.39 = 171,012.84 : x
  2. Step 2: Convert to fraction form
    314,243.73/433,665.39 = 171,012.84/x
  3. Step 3: Cross multiply
    314,243.73x = 433,665.39 × 171,012.84
  4. Step 4: Simplify right side
    314,243.73x = 74,162,349,953.61
  5. Step 5: Solve for x
    x = 74,162,349,953.61/314,243.73
  6. Step 6: Final answer
    x = 236,002.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.